Question

Evaluate the following expression:

$6\cdot \frac{2}{3}$

Short answer

The value $6\cdot \frac{2}{3}$is $4$.

Step-by-step solution

Step 1. Given information.

Th given expression is:

$6\cdot \frac{2}{3}$

Step 2. Write the concept.

The rule for multiplication of fractions is $\frac{a}{b}\cdot \frac{c}{d}=\frac{ac}{bd}$.

Step 3. Simplify the expression.

The expression $6\cdot \frac{2}{3}$can be simplified as in below.

$\begin{array}{c}6\cdot \frac{2}{3}=\frac{6}{1}\cdot \frac{2}{3}\\ =\frac{6\cdot 2}{1\cdot 3}\\ =\frac{12}{3}\\ =\frac{3\cdot 4}{3}\\ =4\end{array}$